TSTP Solution File: NUM926+6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM926+6 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.owHrgi2GaV true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:44:59 EDT 2023
% Result : Theorem 42.87s 6.85s
% Output : Refutation 42.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 41
% Syntax : Number of formulae : 112 ( 68 unt; 24 typ; 0 def)
% Number of atoms : 118 ( 83 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 769 ( 24 ~; 18 |; 3 &; 715 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 11 con; 0-3 aty)
% Number of variables : 72 ( 0 ^; 64 !; 8 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(min_type,type,
min: $i ).
thf(legendre_type,type,
legendre: $i > $i > $i ).
thf(ord_less_type,type,
ord_less: $i > $i > $i > $o ).
thf(power_power_type,type,
power_power: $i > $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(bit0_type,type,
bit0: $i > $i ).
thf(plus_plus_type,type,
plus_plus: $i > $i > $i > $i ).
thf(ord_less_eq_type,type,
ord_less_eq: $i > $i > $i > $o ).
thf(zero_zero_type,type,
zero_zero: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(pls_type,type,
pls: $i ).
thf(zcong_type,type,
zcong: $i > $i > $i > $o ).
thf(m_type,type,
m: $i ).
thf(one_one_type,type,
one_one: $i > $i ).
thf(t_type,type,
t: $i ).
thf(quadRes_type,type,
quadRes: $i > $i > $o ).
thf(bit1_type,type,
bit1: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(times_times_type,type,
times_times: $i > $i > $i > $i ).
thf(number_number_of_type,type,
number_number_of: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(ti_type,type,
ti: $i > $i > $i ).
thf(nat_type,type,
nat: $i ).
thf(int_type,type,
int: $i ).
thf(fact_23_zless__linear,axiom,
! [X_1: $i,Y_1: $i] :
( ( ord_less @ int @ Y_1 @ X_1 )
| ( ( ti @ int @ X_1 )
= ( ti @ int @ Y_1 ) )
| ( ord_less @ int @ X_1 @ Y_1 ) ) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i] :
( ( ord_less @ int @ X0 @ X1 )
| ( ( ti @ int @ X1 )
= ( ti @ int @ X0 ) )
| ( ord_less @ int @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_23_zless__linear]) ).
thf(fact_392_zcong__id,axiom,
! [M: $i] : ( zcong @ M @ ( zero_zero @ int ) @ M ) ).
thf(zip_derived_cl622,plain,
! [X0: $i] : ( zcong @ X0 @ ( zero_zero @ int ) @ X0 ),
inference(cnf,[status(esa)],[fact_392_zcong__id]) ).
thf(fact_202_Pls__def,axiom,
( pls
= ( zero_zero @ int ) ) ).
thf(zip_derived_cl349,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_202_Pls__def]) ).
thf(zip_derived_cl2120,plain,
! [X0: $i] : ( zcong @ X0 @ pls @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl349]) ).
thf(fact_382_Legendre__def,axiom,
! [A_1: $i,P: $i] :
( ( ~ ( zcong @ A_1 @ ( zero_zero @ int ) @ P )
=> ( ( ( quadRes @ P @ A_1 )
=> ( ( legendre @ A_1 @ P )
= ( one_one @ int ) ) )
& ( ~ ( quadRes @ P @ A_1 )
=> ( ( legendre @ A_1 @ P )
= ( number_number_of @ int @ min ) ) ) ) )
& ( ( zcong @ A_1 @ ( zero_zero @ int ) @ P )
=> ( ( legendre @ A_1 @ P )
= ( zero_zero @ int ) ) ) ) ).
thf(zip_derived_cl606,plain,
! [X0: $i,X1: $i] :
( ( ( legendre @ X0 @ X1 )
= ( zero_zero @ int ) )
| ~ ( zcong @ X0 @ ( zero_zero @ int ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_382_Legendre__def]) ).
thf(zip_derived_cl349_001,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_202_Pls__def]) ).
thf(zip_derived_cl349_002,plain,
( pls
= ( zero_zero @ int ) ),
inference(cnf,[status(esa)],[fact_202_Pls__def]) ).
thf(zip_derived_cl5470,plain,
! [X0: $i,X1: $i] :
( ( ( legendre @ X0 @ X1 )
= pls )
| ~ ( zcong @ X0 @ pls @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl606,zip_derived_cl349,zip_derived_cl349]) ).
thf(zip_derived_cl5473,plain,
! [X0: $i] :
( ( legendre @ X0 @ X0 )
= pls ),
inference('sup-',[status(thm)],[zip_derived_cl2120,zip_derived_cl5470]) ).
thf(fact_158_one__is__num__one,axiom,
( ( one_one @ int )
= ( number_number_of @ int @ ( bit1 @ pls ) ) ) ).
thf(zip_derived_cl292,plain,
( ( one_one @ int )
= ( number_number_of @ int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_158_one__is__num__one]) ).
thf(fact_86_number__of__is__id,axiom,
! [K: $i] :
( ( number_number_of @ int @ K )
= ( ti @ int @ K ) ) ).
thf(zip_derived_cl198,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= ( ti @ int @ X0 ) ),
inference(cnf,[status(esa)],[fact_86_number__of__is__id]) ).
thf(zip_derived_cl1532,plain,
( ( one_one @ int )
= ( ti @ int @ ( bit1 @ pls ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl292,zip_derived_cl198]) ).
thf(tsy_c_Int_OBit1_res,axiom,
! [B_1_1: $i] :
( ( ti @ int @ ( bit1 @ B_1_1 ) )
= ( bit1 @ B_1_1 ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( ti @ int @ ( bit1 @ X0 ) )
= ( bit1 @ X0 ) ),
inference(cnf,[status(esa)],[tsy_c_Int_OBit1_res]) ).
thf(zip_derived_cl1972,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl5523,plain,
! [X0: $i] :
( ( one_one @ int )
= ( bit1 @ ( legendre @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5473,zip_derived_cl1972]) ).
thf(zip_derived_cl5523_003,plain,
! [X0: $i] :
( ( one_one @ int )
= ( bit1 @ ( legendre @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5473,zip_derived_cl1972]) ).
thf(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ( ord_less @ int @ ( one_one @ int ) @ t )
=> ? [X: $i,Y: $i] :
( ( plus_plus @ int @ ( power_power @ int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power @ int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) ) ) ).
thf(zip_derived_cl85,plain,
( ( ( plus_plus @ int @ ( power_power @ int @ sk__2 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power @ int @ sk__3 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) )
| ~ ( ord_less @ int @ ( one_one @ int ) @ t ) ),
inference(cnf,[status(esa)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
thf(zip_derived_cl1972_004,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl1972_005,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl1972_006,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl198_007,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= ( ti @ int @ X0 ) ),
inference(cnf,[status(esa)],[fact_86_number__of__is__id]) ).
thf(tsy_c_Int_OBit0_res,axiom,
! [B_1_1: $i] :
( ( ti @ int @ ( bit0 @ B_1_1 ) )
= ( bit0 @ B_1_1 ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( ti @ int @ ( bit0 @ X0 ) )
= ( bit0 @ X0 ) ),
inference(cnf,[status(esa)],[tsy_c_Int_OBit0_res]) ).
thf(fact_85_zmult__commute,axiom,
! [Z: $i,W: $i] :
( ( times_times @ int @ Z @ W )
= ( times_times @ int @ W @ Z ) ) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_85_zmult__commute]) ).
thf(fact_89_zadd__commute,axiom,
! [Z: $i,W: $i] :
( ( plus_plus @ int @ Z @ W )
= ( plus_plus @ int @ W @ Z ) ) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_89_zadd__commute]) ).
thf(zip_derived_cl8982,plain,
( ( ( plus_plus @ int @ ( power_power @ int @ sk__2 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) @ ( power_power @ int @ sk__3 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) )
= ( plus_plus @ int @ ( one_one @ int ) @ ( times_times @ int @ m @ ( bit0 @ ( bit0 @ ( one_one @ int ) ) ) ) ) )
| ~ ( ord_less @ int @ ( one_one @ int ) @ t ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl198,zip_derived_cl43,zip_derived_cl197,zip_derived_cl201]) ).
thf(zip_derived_cl43498,plain,
! [X0: $i] :
( ~ ( ord_less @ int @ ( bit1 @ ( legendre @ X0 @ X0 ) ) @ t )
| ( ( plus_plus @ int @ ( power_power @ int @ sk__2 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) @ ( power_power @ int @ sk__3 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) )
= ( plus_plus @ int @ ( one_one @ int ) @ ( times_times @ int @ m @ ( bit0 @ ( bit0 @ ( one_one @ int ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5523,zip_derived_cl8982]) ).
thf(conj_0,conjecture,
? [X: $i,Y: $i] :
( ( plus_plus @ int @ ( power_power @ int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power @ int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [X: $i,Y: $i] :
( ( plus_plus @ int @ ( power_power @ int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power @ int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl853,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ ( power_power @ int @ X0 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power @ int @ X1 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1972_008,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl1972_009,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl1972_010,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl198_011,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= ( ti @ int @ X0 ) ),
inference(cnf,[status(esa)],[fact_86_number__of__is__id]) ).
thf(zip_derived_cl43_012,plain,
! [X0: $i] :
( ( ti @ int @ ( bit0 @ X0 ) )
= ( bit0 @ X0 ) ),
inference(cnf,[status(esa)],[tsy_c_Int_OBit0_res]) ).
thf(zip_derived_cl197_013,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_85_zmult__commute]) ).
thf(zip_derived_cl201_014,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_89_zadd__commute]) ).
thf(zip_derived_cl22470,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ ( power_power @ int @ X0 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) @ ( power_power @ int @ X1 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) )
!= ( plus_plus @ int @ ( one_one @ int ) @ ( times_times @ int @ m @ ( bit0 @ ( bit0 @ ( one_one @ int ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl853,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl198,zip_derived_cl43,zip_derived_cl197,zip_derived_cl201]) ).
thf(zip_derived_cl43822,plain,
! [X0: $i] :
~ ( ord_less @ int @ ( bit1 @ ( legendre @ X0 @ X0 ) ) @ t ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl43498,zip_derived_cl22470]) ).
thf(zip_derived_cl43925,plain,
~ ( ord_less @ int @ ( one_one @ int ) @ t ),
inference('sup-',[status(thm)],[zip_derived_cl5523,zip_derived_cl43822]) ).
thf(zip_derived_cl43948,plain,
( ( ord_less @ int @ t @ ( one_one @ int ) )
| ( ( ti @ int @ t )
= ( ti @ int @ ( one_one @ int ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl43925]) ).
thf(tsy_v_t_____res,axiom,
( ( ti @ int @ t )
= t ) ).
thf(zip_derived_cl82,plain,
( ( ti @ int @ t )
= t ),
inference(cnf,[status(esa)],[tsy_v_t_____res]) ).
thf(zip_derived_cl292_015,plain,
( ( one_one @ int )
= ( number_number_of @ int @ ( bit1 @ pls ) ) ),
inference(cnf,[status(esa)],[fact_158_one__is__num__one]) ).
thf(zip_derived_cl1972_016,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl198_017,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= ( ti @ int @ X0 ) ),
inference(cnf,[status(esa)],[fact_86_number__of__is__id]) ).
thf(zip_derived_cl1992,plain,
( ( one_one @ int )
= ( ti @ int @ ( one_one @ int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl1972,zip_derived_cl198]) ).
thf(zip_derived_cl43952,plain,
( ( ord_less @ int @ t @ ( one_one @ int ) )
| ( t
= ( one_one @ int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43948,zip_derived_cl82,zip_derived_cl1992]) ).
thf(zip_derived_cl5523_018,plain,
! [X0: $i] :
( ( one_one @ int )
= ( bit1 @ ( legendre @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5473,zip_derived_cl1972]) ).
thf(zip_derived_cl5523_019,plain,
! [X0: $i] :
( ( one_one @ int )
= ( bit1 @ ( legendre @ X0 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5473,zip_derived_cl1972]) ).
thf(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
( ( t
= ( one_one @ int ) )
=> ? [X: $i,Y: $i] :
( ( plus_plus @ int @ ( power_power @ int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power @ int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) ) ) ).
thf(zip_derived_cl84,plain,
( ( ( plus_plus @ int @ ( power_power @ int @ sk_ @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power @ int @ sk__1 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= ( plus_plus @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ ( one_one @ int ) ) )
| ( t
!= ( one_one @ int ) ) ),
inference(cnf,[status(esa)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
thf(zip_derived_cl1972_020,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl1972_021,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl1972_022,plain,
( ( one_one @ int )
= ( bit1 @ pls ) ),
inference('sup+',[status(thm)],[zip_derived_cl1532,zip_derived_cl45]) ).
thf(zip_derived_cl198_023,plain,
! [X0: $i] :
( ( number_number_of @ int @ X0 )
= ( ti @ int @ X0 ) ),
inference(cnf,[status(esa)],[fact_86_number__of__is__id]) ).
thf(zip_derived_cl43_024,plain,
! [X0: $i] :
( ( ti @ int @ ( bit0 @ X0 ) )
= ( bit0 @ X0 ) ),
inference(cnf,[status(esa)],[tsy_c_Int_OBit0_res]) ).
thf(zip_derived_cl197_025,plain,
! [X0: $i,X1: $i] :
( ( times_times @ int @ X1 @ X0 )
= ( times_times @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_85_zmult__commute]) ).
thf(zip_derived_cl201_026,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ X1 @ X0 )
= ( plus_plus @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_89_zadd__commute]) ).
thf(zip_derived_cl8853,plain,
( ( ( plus_plus @ int @ ( power_power @ int @ sk_ @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) @ ( power_power @ int @ sk__1 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) )
= ( plus_plus @ int @ ( one_one @ int ) @ ( times_times @ int @ m @ ( bit0 @ ( bit0 @ ( one_one @ int ) ) ) ) ) )
| ( t
!= ( one_one @ int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl198,zip_derived_cl43,zip_derived_cl197,zip_derived_cl201]) ).
thf(zip_derived_cl43497,plain,
! [X0: $i] :
( ( t
!= ( bit1 @ ( legendre @ X0 @ X0 ) ) )
| ( ( plus_plus @ int @ ( power_power @ int @ sk_ @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) @ ( power_power @ int @ sk__1 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) )
= ( plus_plus @ int @ ( one_one @ int ) @ ( times_times @ int @ m @ ( bit0 @ ( bit0 @ ( one_one @ int ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5523,zip_derived_cl8853]) ).
thf(zip_derived_cl22470_027,plain,
! [X0: $i,X1: $i] :
( ( plus_plus @ int @ ( power_power @ int @ X0 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) @ ( power_power @ int @ X1 @ ( number_number_of @ nat @ ( bit0 @ ( one_one @ int ) ) ) ) )
!= ( plus_plus @ int @ ( one_one @ int ) @ ( times_times @ int @ m @ ( bit0 @ ( bit0 @ ( one_one @ int ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl853,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl1972,zip_derived_cl198,zip_derived_cl43,zip_derived_cl197,zip_derived_cl201]) ).
thf(zip_derived_cl43821,plain,
! [X0: $i] :
( t
!= ( bit1 @ ( legendre @ X0 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl43497,zip_derived_cl22470]) ).
thf(zip_derived_cl43886,plain,
( t
!= ( one_one @ int ) ),
inference('sup-',[status(thm)],[zip_derived_cl5523,zip_derived_cl43821]) ).
thf(zip_derived_cl43953,plain,
ord_less @ int @ t @ ( one_one @ int ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl43952,zip_derived_cl43886]) ).
thf(fact_22_zless__le,axiom,
! [Z_1: $i,W_1: $i] :
( ( ord_less @ int @ Z_1 @ W_1 )
<=> ( ( ord_less_eq @ int @ Z_1 @ W_1 )
& ( ( ti @ int @ Z_1 )
!= ( ti @ int @ W_1 ) ) ) ) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ( ord_less_eq @ int @ X0 @ X1 )
| ~ ( ord_less @ int @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_22_zless__le]) ).
thf(zip_derived_cl43958,plain,
ord_less_eq @ int @ t @ ( one_one @ int ),
inference('sup-',[status(thm)],[zip_derived_cl43953,zip_derived_cl105]) ).
thf(fact_25_zle__antisym,axiom,
! [Z: $i,W: $i] :
( ( ord_less_eq @ int @ Z @ W )
=> ( ( ord_less_eq @ int @ W @ Z )
=> ( ( ti @ int @ Z )
= ( ti @ int @ W ) ) ) ) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ~ ( ord_less_eq @ int @ X0 @ X1 )
| ( ( ti @ int @ X1 )
= ( ti @ int @ X0 ) )
| ~ ( ord_less_eq @ int @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_25_zle__antisym]) ).
thf(zip_derived_cl43982,plain,
( ~ ( ord_less_eq @ int @ ( one_one @ int ) @ t )
| ( ( ti @ int @ ( one_one @ int ) )
= ( ti @ int @ t ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43958,zip_derived_cl110]) ).
thf(fact_0_tpos,axiom,
ord_less_eq @ int @ ( one_one @ int ) @ t ).
thf(zip_derived_cl83,plain,
ord_less_eq @ int @ ( one_one @ int ) @ t,
inference(cnf,[status(esa)],[fact_0_tpos]) ).
thf(zip_derived_cl1992_028,plain,
( ( one_one @ int )
= ( ti @ int @ ( one_one @ int ) ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl1972,zip_derived_cl198]) ).
thf(zip_derived_cl82_029,plain,
( ( ti @ int @ t )
= t ),
inference(cnf,[status(esa)],[tsy_v_t_____res]) ).
thf(zip_derived_cl44002,plain,
( ( one_one @ int )
= t ),
inference(demod,[status(thm)],[zip_derived_cl43982,zip_derived_cl83,zip_derived_cl1992,zip_derived_cl82]) ).
thf(zip_derived_cl43886_030,plain,
( t
!= ( one_one @ int ) ),
inference('sup-',[status(thm)],[zip_derived_cl5523,zip_derived_cl43821]) ).
thf(zip_derived_cl44003,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl44002,zip_derived_cl43886]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM926+6 : TPTP v8.1.2. Released v5.3.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.owHrgi2GaV true
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 16:42:45 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.23/0.36 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.64 % Estimated wc time : 1092
% 0.23/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 42.87/6.85 % Solved by fo/fo5.sh.
% 42.87/6.85 % done 3536 iterations in 6.025s
% 42.87/6.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 42.87/6.85 % SZS output start Refutation
% See solution above
% 42.87/6.85
% 42.87/6.85
% 42.87/6.85 % Terminating...
% 43.76/6.95 % Runner terminated.
% 43.76/6.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------